Monotonic Convergence Analysis for 2-D Roesser Systems via a LMI Approach

Abstract

The monotonic convergence (MC) property of discrete two-dimensional (2-D) systems described by the Roesser model is studied. The MC problem of the 2-D system is firstly converted to two H∞ disturbance attenuation problems of the traditional one-dimensional system. Then, the sufficient condition is derived for the MC, which is given by two linear matrix inequalities (LMIs). Furthermore, it can be shown that either of the LMIs can also guarantee the Bounded-Input Bounded-Output (BIBO) stability of the 2-D system. Finally, a simulation example is given to show the effectiveness of the LMIs condition.